Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized for You
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
In Episode 7 of our GMAT Ninja CR series, we are rounding up the oddballs, the misfits, and the format-benders: EXCEPT, Fill-In-The-Blanks, and other unusual Critical Reasoning question types. When you see a question that ends with a literal blank line
For most test takers, Data Insights is the most challenging section on the GMAT, with test takers scoring several points lower on average on DI than on Quant or Verbal and completing the section with less time to spare.
Register for the GMAT Club Virtual MBA Spotlight Fair – the world’s premier event for serious MBA candidates. This is your chance to hear directly from Admissions Directors at nearly every Top 30 MBA program..
There are 20 workers in a firm. Five of them are to be sent on a mission. How many different groups could be formed, providing president, VP and accountant of the firm can't go all together among those five people?
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
There are 20 workers in a firm. Five of them are to be sent on a mission. How many different groups could be formed, providing president, VP and accountant of the firm can't go all together among those five people?
Show more
Close, but not quite.
Here is an approach:
There first part of the problem is done correctly by Mciato. We do need a total number of combinations and we need to decrease it by the number of groups where the President (P), Vice President (VP) and Accountant (A) serve together (a limiting condition).
The number of the teams that VP and P would serve together on is perhaps the hardest thing in this problem. Anyway, the trick is to count on how many teams P, VP and A will be. To do this, we need to imagine the group, and the five places in it: let’s assume that P is place #1 (since the order does not really matter), VP is # 2, A is # 3, and the two other places are available to the rest (17 total), so for the for the 4th place we can have 17 candidates, and the 5th place will be offered only to the remaining 16.
Thus, the total number of groups that P, VP and A would meet is 17C2 = 16*17/2*1=136.
Answer: 20C5-17C2=15504-136=15368
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.